Thus reactive power is not a power at all; it is only a power-like measure of
reactive component of current.
To state that there is some reactive power flow into a load is a disguised way of
stating that (i) the load impedance has a reactive component (ii) the load current has a
reactive component which reduces the efficacy of current in carrying active power (iii)
therefore, the current magnitude is more than the minimum magnitude needed that is
commensurate with actual power transfer taking place (iv) therefore, circuit is operating
at a power factor less than unity.
This ‘fictitious power’ that is not a power at all in the normal sense of that word, is, in essence, a
stand-in for the reactive component of current. It is usually denoted by Q and its unit is Volt-Ampere-
reactive, shortened as VAr . Thus, Q
=
V
rms
I
rms
sin
q
VAr where
q
is the phase angle by which the voltage
phasor leads the current phasor. Therefore, the reactive power consumed
by
an inductive load is
positive in sign and the reactive power consumed
by
a capacitive load is negative in sign by definition.
Notice that the Q value is the same as the amplitude of double-frequency power pulsation caused
by reactive component of current.
Note carefully that the sign of
reactive component of current
and
reactive power
carried
by that current are opposite. Thus, an inductive load
draws
a ‘negative reactive current’
and
consumes
‘positive reactive power’. A capacitive load
draws
‘positive reactive
current’ and
consumes
‘negative reactive power’. This is matter of convention and
convenience rather than of necessity.
If a circuit element is consuming a certain amount of reactive power, it may equivalently be thought
of as delivering negative of that amount of reactive power. Thus an element that draws positive reactive
power (i.e., inductive Q) can be said to deliver negative reactive power (i.e., capacitive Q). Similarly,
an element that draws negative reactive power (i.e., capacitive Q) can be said to deliver positive
reactive power (i.e., inductive Q). Thus, a capacitor is a source of inductive reactive power and an
inductor is a source of capacitive reactive power.
One may easily show that (Apparent Power)
2
=
P
2
+
Q
2
. Thus, a closed triangle can be constructed
by treating apparent power, active power and magnitude of reactive power as its sides – the triangle
will be called, obviously, the power triangle. This fact is also expressed in alternative forms as
(VA)
2
=
(W)
2
+
(VAr)
2
or (kVA)
2
=
(kW)
2
+
(kVAr)
2
.
It may also be noted that active power is alternatively called real power and in-phase power.
Similarly, reactive power is also called quadrature power.
Many expressions are commonly employed to calculate reactive power. The first expression is
used when the load circuit is a composite circuit containing many resistive and reactive elements. If
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